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All Journal Quadratic: Journal of Innovation and Technology in Mathematics and Mathematics Education
Fathul Khairi
UIN Sunan Kalijaga Yogyakarta
Education Mathematics Social Sciences Other

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Penerapan Fungsi Green dari Persamaan Poisson pada Elektrostatika Fathul Khairi; Malahayati
Quadratic: Journal of Innovation and Technology in Mathematics and Mathematics Education Vol. 1 No. 1 (2021): April 2021
Publisher : Pusat Studi Pengembangan Pembelajaran Matematika Sekolah UIN Sunan Kalijaga Yogyakarta Jl. Marsda Adisucipto, Yogyakarta 55281

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14421/quadratic.2021.011-08

Abstract

The Dirac delta function is a function that mathematically does not meet the criteria as a function, this is because the function has an infinite value at a point. However, in physics the Dirac Delta function is an important construction, one of which is in constructing the Green function. This research constructs the Green function by utilizing the Dirac Delta function and Green identity. Furthermore, the construction is directed at the Green function of the Poisson's equation which is equipped with the Dirichlet boundary condition. After the form of the Green function solution from the Poisson's equation is obtained, the Green function is determined by means of the expansion of the eigen functions in the Poisson's equation. These results are used to analyze the application of the Poisson equation in electrostatic.
Co-Authors Malahayati Malahayati